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Finding the Fourth Proportional to 472.56, 652.11 and 262.73

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Solution

The fourth proportional to 472.56, 652.11 and 262.73 is: 362.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    472.56 : 652.11 = 262.73 : x
  2. Step 2: Convert to fraction form
    472.56/652.11 = 262.73/x
  3. Step 3: Cross multiply
    472.56x = 652.11 × 262.73
  4. Step 4: Simplify right side
    472.56x = 171,328.86
  5. Step 5: Solve for x
    x = 171,328.86/472.56
  6. Step 6: Final answer
    x = 362.55

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.